The Shirts For All shop keeps track of the total number of white and tie-dye t-shirts it sells. In one week, 500 shirts were sold. White shirts cost $15 each, while tie-dye shirts cost $20 each. If the shop earned $9000 in revenue, how many of each type of t-shirt were sold that week?

Answer:

0.0276

Step-by-step explanation:

The computation of the probability that the next driver is texting while driving is shown below:

= Fourth pull failure × fifth pull success

where,

Fourth pull failure is (1 - 0.52)^4

And, the fifth pull success is 0.52

Now placing these values to the above formula

So,

= (1 - 0.52)^4 × 0.52

= 0.0276

Hence, the probability is 0.0276

Answer:

$40.59

$40.59

Step-by-step explanation:

Given the data below :

$19.99, $8.99, $35.99, $49.99, $49.99, $39.99, $99.99, $79.99, $35.99, $19.99, $49.99, $29.99, $49.99, $59.99, $35.99, $49.99, $19.99, $8.99, $29.99, $35.99

The mean of the sample data :

Σ(X) / n =

Σ(X) = $811.8

n = 20

Σ(X) / n = $811.8 / 20

Mean = $40.59

Frequency distribution:

Interval_____f_______fx

8.99_______2______ 17.98

19.99______3_______59.97

29.99______2______59.98

35.99______4______143.96

39.99______1______39.99

49.99______5_____249.95

59.99______1______59.99

79.99______1______79.99

99.99______1______99. 99

Total______20______811.8

Mean = Σfx / Σf

Mean = 811.8 / 20

Mean = 40.59

Answer:

48.4 hours

Step-by-step explanation:

Time = Distance/Rate

Answer:

153/8

Step-by-step explanation:

There are 72 different sums that can be obtained by rolling the die, spinning the spinner, and picking a card.

To determine the number of different sums possible, we need to consider the outcomes of rolling the die, spinning the spinner, and picking a card.

Let's analyze each component separately:

1. Rolling the die: The die has 6 sides, numbered 1 to 6. Therefore, there are 6 possible outcomes when rolling the die.

2. Spinning the spinner: The spinner has 6 sections labeled 1 to 6. Again, there are 6 possible outcomes when spinning the spinner.

3. Picking a card: The card has two options, either 6 or 7. Thus, there are 2 possible outcomes when picking a card.

To find the total number of different sums, we need to multiply the number of outcomes for each component. Therefore, the total number of different sums is obtained by multiplying 6 (die outcomes) by 6 (spinner outcomes) by 2 (card outcomes), resulting in 6 * 6 * 2 = 72 different possible sums.

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In a genogram, various symbols and lines represent different aspects of a person's familial relationships and attributes. Here's a breakdown of the symbols you mentioned:

1. Square: A square in a genogram indicates a male individual. It represents the person's gender and is used to distinguish between male and female family members.

2. Circle: A circle in a genogram indicates a female individual. It represents the person's gender and is used to distinguish between male and female family members.

3. Solid horizontal line: A solid horizontal line in a genogram represents a marital relationship between two individuals. The line connects a square (male) and a circle (female) to show that they are married or in a committed partnership.

4. Broken line: A broken line in a genogram represents a non-blood relationship, such as an adoptive parent-child relationship or a step-sibling connection. It is used to show relationships that are not based on biological ties.

5. X through a square/circle: An X through a square or a circle indicates that the individual is deceased. This symbol is used to show that the person has passed away and is no longer living.

6. Solid vertical line: A solid vertical line in a genogram represents a parent-child relationship. It connects an individual (either a square or circle) to their parent(s), showing the biological connection between the family members.

These symbols and lines help provide a visual representation of a person's family history and relationships, making it easier to analyze and understand the various connections within a family tree.

Overall, a genogram is a visual representation of a family tree that includes important information about relationships, health issues, and other relevant details. By understanding the various symbols and indicators used in a genogram, it is possible to gain a deeper understanding of family dynamics and relationships, as well as potential risk factors for various health conditions. As such, genograms are an important tool for healthcare providers, therapists, and other professionals working with individuals and families.

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Answer:

P'(-3, -2), Q'(-2, -4), and R'(8, 4)

Explanation:

To reflect across the line y = x, we can use the following rule:

(x, y) ----> (y, x)

Therefore, the coordinates of the vertices in the image reflected will be:

(x, y) ----> (y, x)

P(-2, -3) ----> P'(-3, -2)

Q(-4, -2) ----> Q'(-2, -4)

R(4, 8) ------> R'(8, 4)

So, the answer is:

P'(-3, -2), Q'(-2, -4), and R'(8, 4)

1) The equation of the line perpendicular to y = (4 / 5) · x + 23 is y = - (5 / 4) · x - 30.

2) The equation of the line parallel to y = 3 is y = - 8.

3) The equation of the vertical line that passes through point (1, - 9) is x = 1.

Herein, we find three cases of line equations. The first case consists in finding the equation of a line perpendicular to another line. According to the Euclidean geometry, the product of the slopes of two lines perpendicular to each other is equal to - 1. Then, the slope of the perpendicular line is:

m · m' = - 1

(4 / 5) · m' = - 1

m' = - 5 / 4

Then, we determine the value of the x-intercept:

b = y - m · x

b = 20 - (- 5 / 4) · (- 40)

b = 20 - 50

b = - 30

Then, the equation of the line perpendicular to y = (4 / 5) · x + 23 is y = - (5 / 4) · x - 30.

The second part consists in finding the equation of a line parallel to another line. Two lines are parallel when they share the same slope. In this case we find that the first line is horizontal, then the line parallel to it must be also horizontal, that is, a line of the form y = a. Then, the equation of the line parallel to y = 3 is y = - 8.

And the last part asks us to find the equation of a vertical line that passes through point (1, - 9). Vertical lines are represented by equations of the form x = a. Thus, the equation of the vertical line that passes through point (1, - 9) is x = 1.

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The sum of numbers is = \(1 \frac{19}{30}\)

First find the least common denominator of 1/6, 4/5, and 2/3. The least common denominator of that list is: 30.

= 1/6 + 4/5 + 2/3

= \(\frac{5+24+20}{30}\)

= 49 / 30

The sum of numbers in mixed fraction  = \(1 \frac{19}{30}\)

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

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Answer:

23?

Step-by-step explanation:

unless its s trick question its really only one possible answer no?

The ordered pair that is on the function y=f(2x+1)+3 is (-3/2, 6)

Here we know that for the function:

y = f(x)

And we know that the point (-2, 3) belongs to the function, this means that:

f(-2)= 3

Now we want to find a point on the function:

f(2x + 1) + 3

If we find x such that:

2x + 1 = -2

2x = -3

x = -3/2

Now we can evaluate the function in that value of x to get:

y = f(2*-3/2 + 1) + 3

y = f(-2) + 3

y = 3 + 3

y = 6

Then we have the point (-3/2, 6) on the function.

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Answer:

h = - \(\frac{3}{10}\)

Step-by-step explanation:

23h - 13h + 11 = 8 ( subtract 11 from both sides )

10h = - 3 ( divide both sides by 10 )

h = - \(\frac{3}{10}\)

Your answer(s) will be:

0.3 (Decimal Form)

              or

3/10 (Fraction Form)

Answer:

X(X+Y) = C - X.X + X.Y

Step-by-step explanation:

This is because you are factoring the X outside the parentheses to the X and Y in the parentheses so you would get X*X + X*Y

Answer:

Connor will earn more interest because he is getting compound interest.

Step-by-step explanation:

I have to assume in this case that the interest is 3.5% Per year:

Simple Interest = P(r + t)

{P = Principle, r = interest rate, t = time)

Wendy = $8,300 x (3.5% x 25)

Wendy = $7,262.50 (2 d.p)

Wendy = $8,300 + $7,262.50

Wendy = $15,562.50

Compound Interest = \(P (1 +r )^{t}\)

{P = Principle, r = interest rate, t = time)

Connor = $8,300 x \((1 + 0.035)^{25}\)

Connor = $19,614.93

Wendy's Interest = $15,562.50 - $8,300 = $7,262.50

Connor's interest = $ 19,614.93 - $8,300 = $11,314.93

Connor earned more interest by $4,052.43

___________________________________________________

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Answer:

X=8.8 and Y=1

Step-by-step explanation:

the critical values of f(x) are NONE. , f(x) is increasing on the interval (-INF, 6) U (6, INF). , the answer is NONE. for remaining options

(A) To find the critical values of f(x), we need to find where the derivative of f(x) is equal to zero or undefined.

Taking the derivative of f(x), we get: f'(x) = \(4(x-6)^{-1/3}.\)

Setting f'(x) = 0, we get:\(4(x-6)^{-1/3} = 0,\) which has no solution since a nonzero number cannot be raised to a negative power and give zero.

The function f(x) is defined for all x, so there are no values of x where f(x) is undefined.

Therefore, the critical values of f(x) are NONE.

(B) The function f(x) is increasing when its derivative is positive. From the derivative, we see that f'(x) is positive for all x ≠ 6. Therefore, f(x) is increasing on the interval (-INF, 6) U (6, INF).

(C) The function f(x) is decreasing when its derivative is negative. From the derivative, we see that f'(x) is negative for all x ≠ 6. Therefore, f(x) is decreasing on the interval (6, 6).

(D) To find the local maxima of f(x), we need to look for values of x where f'(x) changes sign from positive to negative. Since f'(x) is always negative, there are no local maxima of f(x). Thus, the answer is NONE.

(E) To find the local minima of f(x), we need to look for values of x where f'(x) changes sign from negative to positive. Since f'(x) is always negative, there are no local minima of f(x). Thus, the answer is NONE.

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The solution to the system of differential equations is x(t) = -\(3e^{(31t)\) and z(t) = -\(3e^{(31t\)).

To solve the given system of differential equations, we'll begin by finding the eigenvalues and eigenvectors of the coefficient matrix.

The coefficient matrix is A = [[-22, 54], [-9, 23]]. To find the eigenvalues λ, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.

det(A - λI) = [[-22 - λ, 54], [-9, 23 - λ]]

=> (-22 - λ)(23 - λ) - (54)(-9) = 0

=> λ^2 - λ(23 + 22) + (22)(23) - (54)(-9) = 0

=> λ^2 - 45λ + 162 = 0

Solving this quadratic equation, we find the eigenvalues:

λ = (-(-45) ± √((-45)^2 - 4(1)(162))) / (2(1))

λ = (45 ± √(2025 - 648)) / 2

λ = (45 ± √1377) / 2

The eigenvalues are λ₁ = (45 + √1377) / 2 and λ₂ = (45 - √1377) / 2.

Next, we'll find the corresponding eigenvectors. For each eigenvalue, we solve the equation (A - λI)v = 0, where v is the eigenvector.

For λ₁ = (45 + √1377) / 2:

(A - λ₁I)v₁ = 0

=> [[-22 - (45 + √1377) / 2, 54], [-9, 23 - (45 + √1377) / 2]]v₁ = 0

Solving this system of equations, we find the eigenvector v₁.

Similarly, for λ₂ = (45 - √1377) / 2, we solve (A - λ₂I)v₂ = 0 to find the eigenvector v₂.

The general solution of the system is x(t) = c₁e(λ₁t)v₁ + c₂e(λ₂t)v₂, where c₁ and c₂ are constants.

Using the initial condition x(0) = -3, we can substitute t = 0 into the general solution and solve for the constants c₁ and c₂.

Finally, substituting the values of c₁ and c₂ into the general solution, we obtain the particular solution for x(t).

Since z(t) = x(t), the solution for z(t) is the same as x(t).

Therefore, the solution to the system of differential equations is x(t) = \(-3e^{(31t)\) and z(t) = -\(3e^{(31t)\).

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Let's call the cost of the dryer "x".

We know from the problem that the washer costs $68 less than the dryer, so the cost of the washer would be "x - 68".

The problem also tells us that the combined cost of the washer and dryer is $782. So we can set up an equation:

x + (x - 68) = 782

Simplifying this equation, we get:

2x - 68 = 782

Adding 68 to both sides, we get:

2x = 850

Dividing both sides by 2, we get:

x = 425

So the dryer costs $425.

Answer:

2(7x + 11)

Step-by-step explanation:

3/4  ( 24x + 28) - (4x - 1) = 18x + 21 - 4x + 1 = 14x + 22 = 2(7x + 11)

Answer:

2(7x + 11)

Step-by-step explanation:

3/4 (24x + 28) - (4x - 1)

= 18x + 21 - 4x + 1

= 14x + 22

= 2(7x + 11)

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The given expression is a combination of various mathematical functions, including square root, cosine, absolute value, and power functions. It is a complex expression that cannot be simplified any further.

The function produces a curve that oscillates rapidly and has multiple peaks and valleys. The graph of this function is periodic with a period of 2π. The value of the expression depends on the input value of x. When x is close to zero, the value of the expression is positive. As x moves away from zero, the value of the expression becomes negative until it reaches a minimum point, then it becomes positive again. The behavior of the expression is very sensitive to small changes in the input value of x, making it a challenging function to work with.

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Answer: \(\frac{4s^2 -56s+196}{\pi}\)

Step-by-step explanation:

\(P=4s \implies C+4s=28\\\\\implies C=28-4s\\\\\implies r=\frac{28-4s}{2\pi}=\frac{14-2s}{\pi}\\\\\therefore f(s)=\pi \left(\frac{14-2s}{\pi} \right)^2\\\\=\pi \cdot \frac{196+4s^2 -56s}{\pi^2}\\\\=\frac{4s^2 -56s+196}{\pi}\)

Question: find the slope of the line that passes through these two points. (1,3) (4,6)

Solution:

By definition, the slope of a line is given by the following equation:

where (X1,Y1) and (X2,Y2) are points on the line. In our case, we can take the points:

(X1,Y1) = (1,3)

(X2,Y2) = (4,6)

and replace them into the slope equation:

then, we can conclude that the correct answer is:

Answer: 1

Step-by-step explanation:

just did it on edg

Answer:

ok

Step-by-step explanation:

7mean

12median

12mode

14range

15 range

no mode

13.5median

13mean

range 12

18 mean

17 median

no mode

no mode

19 mean

18 median

21 range

Answer:

TBH IF YOU WANT TO ROAST I GOT NO IDEA BUT THIS IS THE THING I DO

Step-by-step explanation:

Well to be honest I think you should just treat him the same say the same things you would normallily say when you didnt know he waS

Answer:

Go back to roasting them be the cool one

Step-by-step explanation:

Answer:

x=  

6

43

​

Step-by-step explanation:

pasos  

4

3

​

x−5=  

8

3

Agrega 5 a ambos lados.

4

3

​

x=  

8

3

​

+5

Convertir 5 a la fracción  

8

40

​

.

4

3

​

x=  

8

3

​

+  

8

40

​

Como  

8

3

​

 y  

8

40

​

 tienen el mismo denominador, sume sus numeradores para sumarlos.

4

3

​

x=  

8

3+40

​

Suma 3 y 40 para obtener 43.

4

3

​

x=  

8

43

​

Multiplica los dos lados por  

3

4

​

, el recíproco de  

4

3

​

.

x=  

8

43

​

×(  

3

4

​

)

Multiplica  

8

43

​

 por  

3

4

​

 (para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).

x=  

8×3

43×4

​

Realiza las multiplicaciones en la fracción  

8×3

43×4

​

.

x=  

24

172

​

Reduzca la fracción  

24

172

​

 a su mínima expresión extrayendo y anulando 4.

x=  

6

43

​

The answer is FALSE. The alternative hypothesis is a statement that there is a difference or an effect in the population being studied, and it contradicts the null hypothesis, which is a statement that there is no difference or no effect in the population being studied.

The alternative hypothesis is a statement that contradicts the null hypothesis and is generally the hypothesis that the researcher wants to support. It is a statement that there is a difference or an effect in the population being studied.

In hypothesis testing, the null hypothesis is a statement that there is no difference or no effect in the population being studied. The null hypothesis is typically the default hypothesis, which is assumed to be true unless evidence suggests otherwise. The alternative hypothesis, on the other hand, is a statement that there is a difference or an effect in the population being studied, and it is typically the hypothesis that the researcher wants to support.

For example, if a researcher wants to test the effectiveness of a new drug, the null hypothesis might be that the drug has no effect on the condition being treated, while the alternative hypothesis might be that the drug has a positive effect on the condition being treated.

In summary, the alternative hypothesis is a statement that there is a difference or an effect in the population being studied, and it contradicts the null hypothesis, which is a statement that there is no difference or no effect in the population being studied.

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The yoga studio has effectively used the bait-and-switch technique to sell Cassie a membership.

The bait-and-switch technique is a sales tactic where customers are initially attracted to a product or service due to its appealing features or low price, but additional costs or less desirable aspects are revealed later, often after the customer has made a commitment. In this case, Cassie was initially drawn to the yoga studio because of the inexpensive new memberships. However, upon learning about the added costs for workshops and mats, Cassie realizes that the final price is higher than she anticipated.

The yoga studio effectively used the bait-and-switch technique by presenting a seemingly low-priced offer to attract Cassie's interest and commitment. By withholding the information about the additional costs until Cassie had already become interested and committed to joining the studio, they increased the likelihood of her signing up despite the unexpected expenses.

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The linear speed of the smaller Ferris wheel is 40.8 meters per minute.  The linear speed of larger Ferris wheel is 71.4 meters per minute.

When a body rotates, each point on it moves in a circle. The point on the circumference of the Ferris wheel travels the farthest distance in a single rotation compared to other points. Hence, the linear velocity of a point on the circumference is directly proportional to its distance from the center.

The angular speed of both Ferris wheels is the same i.e., 3 rotations per minute. The smaller Ferris wheel has a radius of 8 meters and the larger has a radius of 14 meters.

To find the linear speed of the Ferris wheel, we use the formula v = rω.

Linear velocity of the smaller Ferris wheel:

(8 m)(3 rotations/min) = 24π m/min ≈ 40.8 m/min.

Linear velocity of the larger Ferris wheel:

(14 m)(3 rotations/min) = 42π m/min ≈ 71.4 m/min.

The larger Ferris wheel would feel 30.6 m/min ≈ 0.5 m/s faster than the smaller Ferris wheel.

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